NP-completeness Proof: RBCDN Reduction Problem
Sujogya Banerjee, Shahrzad Shirazipourazad, Pavel Ghosh, Arunabha Sen
TL;DR
This paper proves that designing networks with a specific Region-Based Component Decomposition Number (RBCDN) is an NP-complete problem, highlighting its computational difficulty.
Contribution
It establishes the NP-completeness of the RBCDN reduction problem, providing a theoretical complexity classification.
Findings
RBCDN design problem is NP-complete
Complexity classification for network design problems
Implications for network optimization algorithms
Abstract
Computational complexity of the design problem for a network with a target value of Region-Based Component Decomposition Number (RBCDN) has been proven to be NP-complete.
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Taxonomy
TopicsManufacturing Process and Optimization